Finding the Third Proportional to 90,150 and 141,414

Step by Step Solution

1. Step 1: Write the proportion equation
   90,150 : 141,414 = 141,414 : x
2. Step 2: Convert to fraction form
   90,150/141,414 = 141,414/x
3. Step 3: Cross multiply
   90,150x = 141,414 × 141,414
4. Step 4: Simplify right side
   90,150x = 19,997,919,396
5. Step 5: Solve for x
   x = 19,997,919,396/90,150
6. Step 6: Final answer
   x = 221,829.39